Final answer:
The arc length of a circle with a radius of 10 units and a central angle of 97° is calculated using the formula for arc length, yielding an arc length of approximately 16.975 units.
Explanation:
The question asks us to find the arc length of a circle with a certain radius when a central angle is given. To find the arc length, we use the formula:
Arc length (s) = (θ/360) × 2πr
Where θ is the central angle in degrees, r is the radius of the circle, and π is approximately 3.14159. Since we know the central angle is 97° and the radius is 10, we can plug these values into the formula:
s = (97/360) × 2×π×10
s ≈ (97/360) × 2× 3.14159 × 10
s ≈ 16.975
Therefore, the arc length is approximately 16.975 units.
Wow, I am dump. Anyways can anyone help me with this.
Complete the compass rose below with the correct bearings, please help ASAP
The points (10, 6) and (7, u) fall on a line with a slope of -4/3. what is the value of u?
u=
1) a yogurt shop has vanilla chocolate and strawberry blueberry and raspberry flavors served in small medium or large cups. How many different yogurt choices are possible.
a)30 b)15 c)8 d)2
2) mr.Jefferson has 20 students in his class he wants to send 4 of these students to pick up books for the class how many combinations of 4 students can he choose
a)80 b)5 c)4845 d)116,280
3)here is there sample spaces for three tossed of a coin (hhh,hht,hth,htt,thh,tht,tth,ttt)
a)0.25 b)0.375 c)0.125 d)0.333
4) the table shows the results of a spinning spinner several times what is the experimental probability of spinning a c or a d
a)4/5 b)1/48 c)2/5 d)1/3
5)a bag contains 8 black marbles 16 white marbles 14 red marbles and ten green marbles a marble is drawn at random from the bag what is the probability that the marble drawn will not be white
a)1/3 b)2/3 c)3/4 d)15/16
The tank shown is made of steel. It does not have a cover. Find the area of steel sheet used to make the tank.
Abigail flipped a coin 20 times, and it landed with heads facing up 13 times. What percent of the coin flips landed with heads facing up.
The percentage of times Abigail's coin landed on heads is 65%, which is found by dividing the number of successful outcomes (head flips) by the total number of trials (total flips) and then multiplying by 100.
Explanation:The calculation you're asking for is one of percentage, which is a basic concept in mathematics often related to probability and statistics. We determine the percentage of times the coin landed on heads by dividing the number of successful outcomes (the coin landing on heads) by the total number of trials (the total coin flips), and then multiplying that result by 100 to convert the decimal to a percentage.
Here's a step-by-step way to do it:
Firstly, count the number of times the coin landed on heads, which is 13. Next, count the total number of coin flips, which is 20. Divide the number of successful outcomes (head flips) by the total trials (total flips). In this case, 13 ÷ 20 = 0.65. Finally, to convert this decimal to a percentage, multiply by 100. So, 0.65 × 100 = 65%.
So, 65% of Abigail's coin flips landed with heads facing up.
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35 feet. The distance from the slide to the bench is 12 feet. Use the Pythagorean theorem to find the distance from the bench to the swings.
the answer to this question is 37
Felicia had made 1/4 gallon if punch and poured an equal amount into 8 glasses.would the amount i n each glass be more ot less than 1/16 gallon?
3. Haruto was the starting pitcher for his baseball team. In his last two games, the coach kept a close eye on the number of pitches, balls, and strikes he threw.
(a) In the first game recorded, the coach wrote 60%, or 54 pitches, were strikes. Find the total number of pitches Haruto threw in this game.
(b) In the second game recorded, the coach recorded 40%, or 34 pitches, were balls. Find the number of strikes and the total number of pitches he threw in this game.
Answer:
90
Step-by-step explanation:
:P
What mixed number does it show?
A circular garden has a circumference of 44 yards. Lars is digging a straight line along a diameter of the garden at a rate of 7 yards per hour. How many hours will it take him to dig across the garden?
It will take almost 2 hours to dig across the garden.
What is circumference of circle?"It is the length of the boundary of the circle."
Formula for the circumference of circle:[tex]c = 2\times \pi \times r[/tex]
What is rate?"It is the distance covered per unit times."
For given question,
A circular garden has a circumference of 44 yards.
⇒ C = 44
⇒ 2 × π × r = 44
⇒ 2 × r = 14.01 yards
We know, the diameter of the circle is d = 2 × r
This means, the diameter of the circular ground is 14.01 yards.
here, the rate (s) = 7 yards per hour
Using the formula of rate,
[tex]\Rightarrow s=\frac{d}{t}\\\\\Rightarrow 7=\frac{14.01}{t}\\\\ \Rightarrow t= 2.001\\\\ \Rightarrow t\approx 2~~hours[/tex]
Therefore, it will take him almost 2 hours to dig across the garden.
Learn more about the circumference of the circle:
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find the area of the composite figure
Answer:
its f
Step-by-step explanation:
Is 6 pints is greater than less than or equal to 60 fluid ounces
What is 2/5³? Please put it in simplest form.
What is the area of a sector with a central angle of 3pi/5 radians and a diameter of 21.2cm
Use 3.14 for pi and round to the nearest hundredth
Cm2
Laura bought a square canvas to paint a picture of her cat one side measured 22 centimeters what is tha area of the canvas
A box is filled with black (B), white (W), red (R), green (G), and pink (P) phone cases. A phone case is selected at random.
What is the sample space for this experiment?
S = {B, W, R}
S = {B, W, R, G, P}
S = {G, P}
S = {B, R, G, P}
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Twenty-four students took a test. Fourteen students earned an A and 10 students earned a B. A student will be randomly chosen.
What is the probability that the student earned an A on the last test?
Enter your answer as a fraction, in simplest form, in the box.
ANSWER 1 :
Sample Space ( S )= {B, W, R, G, P} Option (ii)
Explanation:
There are five types of phone cases. Colors of the phone cases are Black, White, Red, Green, Pink.
One phone case is selecte as random, in this case we have 5 choices to select one phone case at a time.
So, Sample space is S = {B, W, R, G, P} Option(ii)
Final answer.
Answer 2 :
Probability for student earn grade A = [tex] \frac{7}{12} [/tex]
Explanation :
There are total 24 students in a class.
All student appeared in a test.
14 students are got grade A
and 10 students are got grade B.
One student choose at random whose grade is A.
Probability for selected grade A student = (total students of grade A)/(Total number of student in a class)
Probability for selected grade A student = [tex] \frac{14}{24} [/tex]
Probability for selected grade A student =[tex] \frac{7}{12} [/tex]
Final answer.
which are the roots of the quadratic function f(q) = q^2 - 125? check all that apply.
What is the area of the trapezoid?
Enter your answer in the box.
[ in] and two at the top
Find the slope and the y-intercept in this equation: 3y+6=-2x
What are the roots of f(x)=x2-48
Hong purchased n notebooks. They were 4 dollars each. Write an equation to represent the total cost c that Hong paid?
ASAP
Anthony spent $11.23 on his lunch while Margo spent $8.96 on her lunch. Anthony paid with a twenty dollar bill and gave a $2.25 tip. How much did Anthony have left from his twenty dollar bill?
A. $13.48
B. $8.77
C. $6.52
D. $2.24
the answer is c
sorry if im wrong.
Solve the quadratic equation by completing the square.
x^2 + 4x - 3 = 0
A) x = 4 ± 7
B) x = 2 ± 7
C) x = -4 ± 7
D) x = -2 ± 7
[tex]x^2+4x-3=0\\(x^2+4x+4) -3-4=0\\(x+2)^2=7\\x+2=\pm\sqrt{7}\\x=-2\pm\sqrt{7}[/tex]
The appropriate choice is
... D) x = -2 ±√7
I hope you can see the picture
Use elimination to solve the system of equations given by 3x + 4y = 5 and 21x + 28y = 35.
(0 = 0) is a true statement, it means that the system of equations has infinitely many solutions.
The correct option is (C).
To solve the system of equations using elimination, we'll manipulate one or both equations to eliminate one of the variables, either \(x\) or \(y\). Let's start by using elimination to eliminate \(x\).
Given the system of equations:
[tex]\[ \begin{cases} 3x + 4y = 5 \quad \quad \quad \quad \quad (1) \\21x + 28y = 35 \quad \quad \quad (2)\end{cases} \][/tex]
We can see that if we multiply equation (1) by 7, we can eliminate (x) when we add the equations together:
[tex]\[ 7(3x + 4y) = 7 \times 5 \][/tex]
[tex]\[ 21x + 28y = 35 \][/tex]
Now, we can rewrite equation (1) as:
[tex]\[ 21x + 28y = 35 \quad \quad \quad \quad \quad (3) \][/tex]
Now, we'll subtract equation (2) from equation (3):
[tex]\[ (21x + 28y) - (21x + 28y) = 35 - 35 \][/tex]
[ 0 = 0 ]
Since (0 = 0) is a true statement, it means that the system of equations has infinitely many solutions.
So, the correct answer is option C: Infinitely Many Solutions.
complete question given below:
Use elimination to solve the system of equations given by 3x + 4y = 5 and 21x + 28y = 35.
A. No Solution
B. (5/3, 0)
C. Infinitely Many Solutions
D. (0, 5/4)
An item travels 70 ft in 10 s. What is the unit rate?
What is the slope of the function?
am always plans his leisure time for surfing the Internet and painting in the same ratio. Use the information given to complete the table. Internet surfing (min) Painting (min) 24 24 36 40 33 44
In a farm consisting only of horses and chickens, there are 146 total feet. If there are 50 animals total, how many horses are there?